Simplify (ab^4)(ab^2)

$(a b^{4}) (a b^{2})$

Step 1

Multiply $a$ by $a$ by adding the exponents.

Move $a$ .

$a \cdot a b^{4} b^{2}$

Multiply $a$ by $a$ .

$a^{2} b^{4} b^{2}$

Step 2

Multiply $b^{4}$ by $b^{2}$ by adding the exponents.

Move $b^{2}$ .

$a^{2} (b^{2} b^{4})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$a^{2} b^{2 + 4}$

Add $2$ and $4$ .

$a^{2} b^{6}$